I think a mistake thats commonly made is people get quite hung up on vacuum specifics of each hand, e.g. If I bet, I'm getting him to to fold X hands, or Call with Y hands etc - yes this is important we should always know WHY we are betting but it's important to consider your overall strategy in these types of spots.
Lets consider your WHOLE RANGE here OTF, the bestt hands you 3bet pre-flop will have hit this board very hard, and its quite safe to assume you will have the BEST hands here more than he does. You'll have air (most "air" you 3bet pf will have some sort of equity on this board K4s J7s etc) and ofc you'll havee lighter 3bets with some strong-ish flop equity (which is what we have here)
Obviously vs a compentant opponent we can't cbet here 100% as its an easily exploitable move to cbet here OOP too much vs a thinking player (he can defend/bluff wider) so we NEED to have some checks. The nmost obvious hands to check will be the complete nothing hands we've 3bet pre 86s or something like that, OOP with zero equity we can chk/fold here. Now we need to make sure our checks here aren't 100% chk/folding as obviously thats highly exploitable also so we need to throw in a few chk calls and building a range to chk call here is quite difficult because the VERY BEST hands we have will, in a vacuum always be desperate to Cbet (AA/QQ etc) so when deciding exactly what hands we are going to chk call here I would consider our visibility for the rest of the hand.
By visibility i mean basically how likely we are to make mistakes (to use an old phrase to "know where we are") a hand like KQ is not a hand I want to chk/call here because the playability on the turn is very poor - we're going to be value-bet vs quite well and we cant stand much action so likely to be bluffed quite a bit also (usually a hand with a K or a J in it that will bluff) whereas it doesn't seem ideal (and in a vacuum it isn't) I think because of how hard the turn is going to be when we use weak hands like KQ to chk/call and balance out our chk/folds we REALLY need to be using stronger hands than KQ to chk/call with OOP on this flop.
Exactly what hands Im not too sure ♦
Now looking at how we'd play the best hands we have here the simplest and most obvious is to triple barrel for value (we could take loads of other exploitative lines based our reads on our villain) so in order to balance the strategy of tripling our best hands we need to find some weaker hands to triple barrel "bluff" with, having already (wisely) decided not to take off with 68s here I think a hand like KQ thats going to have decent enough equity + a useful(ish) blocker is an excellent candidate for a "light" triple barrel, speshly when you consider the fact that OTF it's pretty likely we have the best hand anyway and how strong our range is on this board, AND the fact that its going to be quite difficult for us to showdown our hand once we take a passive flop line.
What we're essentially doing is we are utilizing our equity + the strength of our perceived range, the fact we have a Queen and there is one on the board shouldn't force us to weaken our overall strategy on this board, if anything it should allow us to strengthen it.
Might not have explained this that well but so tired over been playing so much can barely think straight any more